-7(k-9)=9(k-5)-14k

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Solution for -7(k-9)=9(k-5)-14k equation: 


Simplifying
-7(k + -9) = 9(k + -5) + -14k

Reorder the terms:
-7(-9 + k) = 9(k + -5) + -14k
(-9 * -7 + k * -7) = 9(k + -5) + -14k
(63 + -7k) = 9(k + -5) + -14k

Reorder the terms:
63 + -7k = 9(-5 + k) + -14k
63 + -7k = (-5 * 9 + k * 9) + -14k
63 + -7k = (-45 + 9k) + -14k

Combine like terms: 9k + -14k = -5k
63 + -7k = -45 + -5k

Solving
63 + -7k = -45 + -5k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '5k' to each side of the equation.
63 + -7k + 5k = -45 + -5k + 5k

Combine like terms: -7k + 5k = -2k
63 + -2k = -45 + -5k + 5k

Combine like terms: -5k + 5k = 0
63 + -2k = -45 + 0
63 + -2k = -45

Add '-63' to each side of the equation.
63 + -63 + -2k = -45 + -63

Combine like terms: 63 + -63 = 0
0 + -2k = -45 + -63
-2k = -45 + -63

Combine like terms: -45 + -63 = -108
-2k = -108

Divide each side by '-2'.
k = 54

Simplifying
k = 54

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